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Finding the Third Proportional to 1,474,169.81 and 2,221,642.97

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Solution

The third proportional to 1,474,169.81 and 2,221,642.97 is: 3,348,120.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474,169.81 : 2,221,642.97 = 2,221,642.97 : x
  2. Step 2: Convert to fraction form
    1,474,169.81/2,221,642.97 = 2,221,642.97/x
  3. Step 3: Cross multiply
    1,474,169.81x = 2,221,642.97 × 2,221,642.97
  4. Step 4: Simplify right side
    1,474,169.81x = 4,935,697,480,596.31
  5. Step 5: Solve for x
    x = 4,935,697,480,596.31/1,474,169.81
  6. Step 6: Final answer
    x = 3,348,120.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.